1932

Abstract

Ratchet effects can arise for single or collectively interacting Brownian particles on an asymmetric substrate when a net dc transport is produced by an externally applied ac driving force or by periodically flashing the substrate. Recently, a new class of active ratchet systems that do not require the application of external driving has been realized through the use of active matter; they are self-propelled units that can be biological or nonbiological in nature. When active materials such as swimming bacteria interact with an asymmetric substrate, a net dc directed motion can arise even without external driving, opening a wealth of possibilities such as sorting, cargo transport, or micromachine construction. We review the current status of active matter ratchets for swimming bacteria, cells, active colloids, and swarming models, focusing on the role of particle-substrate interactions. We describe ratchet reversals produced by collective effects and the use of active ratchets to transport passive particles. We discuss future directions including deformable substrates or particles, the role of different swimming modes, varied particle–particle interactions, and nondissipative effects.

Loading

Article metrics loading...

/content/journals/10.1146/annurev-conmatphys-031016-025522
2017-03-31
2024-04-16
Loading full text...

Full text loading...

/deliver/fulltext/conmatphys/8/1/annurev-conmatphys-031016-025522.html?itemId=/content/journals/10.1146/annurev-conmatphys-031016-025522&mimeType=html&fmt=ahah

Literature Cited

  1. Reichhardt C, Reichhardt CJO. 1.  2017. Rep. Prog. Phys. In press. arXiv:1602.03798
  2. Reimann P. 2.  2002. Phys. Rep. 361:57–265
  3. Derényi I, Vicsek T. 3.  1995. Phys. Rev. Lett. 75:374–77
  4. de Souza Silva CC, Van de Vondel J, Morelle M, Moshchalkov VV. 4.  2006. Nature 440:651–54
  5. Lu Q, Reichhardt CJO, Reichhardt C. 5.  2007. Phys. Rev. B 75:054502
  6. Lee CS, Jankó B, Derényi I, Barabási AL. 6.  1999. Nature 400:337–40
  7. Galajda P, Keymer J, Chaikin P, Austin R. 7.  2007. J. Bacteriol. 189:8704–7
  8. Reichhardt C, Ray D, Reichhardt CJO. 8.  2015. Phys. Rev. B 91:184502
  9. Van Oudenaarden A, Boxer SG. 9.  1999. Science 285:1046–48
  10. Ertas D. 10.  1998. Phys. Rev. Lett. 80:1548–51
  11. Duke TAJ, Austin RH. 11.  1998. Phys. Rev. Lett. 80:1552–55
  12. Reichhardt CJO, Reichhardt C. 12.  2005. Physica C 432:125–32
  13. Dinis L, Perez de Lara D, Gonzalez EM, Anguita JV, Parrondo JMR, Vicent JL. 13.  2009. New J. Phys. 11:073046
  14. Reichhardt C, Reichhardt CJO. 14.  2016. Phys. Rev. B 93:064508
  15. Lindner B, Schimansky-Geier L, Reimann P, Hänggi P, Nagaoka M. 15.  1999. Phys. Rev. E 59:1417–24
  16. Reichhardt C, Ray D, Reichhardt CJO. 16.  2015. New J. Phys. 17:073034
  17. Rousselet J, Salome L, Ajdari A, Prost J. 17.  1994. Nature 370:446–48
  18. Farkas Z, Tegzes P, Vukics A, Vicsek T. 18.  1999. Phys. Rev. E 60:7022–31
  19. Wambaugh JF, Reichhardt C, Olson CJ. 19.  2002. Phys. Rev. E 65:031308
  20. Jones PH, Goonasekera M, Renzoni F. 20.  2004. Phys. Rev. Lett. 93:073904
  21. Salger T, Kling S, Hecking T, Geckeler C, Morales-Molina L, Weitz M. 21.  2009. Science 326:1241–43
  22. Linke H, Humphrey TE, Löfgren A, Sushkov AO, Newbury R. 22.  et al. 1999. Science 286:2314–17
  23. Roeling EM, Germs WC, Smalbrugge B, Geluk EJ, de Vries T. 23.  et al. 2011. Nat. Mater. 10:51–55
  24. Pérez-Junquera A, Marconi VI, Kolton AB, Álvarez-Prado LM, Souche Y. 24.  et al. 2008. Phys. Rev. Lett. 100:037203
  25. Franken JH, Swagten HJM, Koopmans B. 25.  2012. Nat. Nanotechnol. 7:499–503
  26. Chat'e H, Ginelli F, Grégoire G, Peruani F, Raynaud F. 26.  2008. Eur. Phys. J. B 64:451–56
  27. Ramaswamy S. 27.  2010. Annu. Rev. Condens. Matter Phys. 1:323–45
  28. Marchetti MC, Joanny JF, Ramaswamy S, Liverpool TB, Prost J. 28.  et al. 2013. Rev. Mod. Phys. 85:1143–89
  29. Bechinger C. Leonardo R, Löwen H, Reichhardt C, Volpe G, Volpe G. 29. , Di 2016. Rev. Mod. Phys. 88045006
  30. Cates ME, Marenduzzo D, Pagonabarraga I, Tailleur J. 30.  2010. PNAS 107:11715–20
  31. Fily Y, Marchetti MC. 31.  2012. Phys. Rev. Lett. 108:235702
  32. Redner GS, Hagan MF, Baskaran A. 32.  2013. Phys. Rev. Lett. 110:055701
  33. Palacci J, Sacanna S, Steinberg AP, Pine DJ, Chaikin PM. 33.  2013. Science 339:936–40
  34. Buttinoni I, Bialké J, Kümmel F, Löwen H, Bechinger C, Speck T. 34.  2013. Phys. Rev. Lett. 110:238301
  35. Reichhardt C, Reichhardt CJO. 35.  2014. Soft Matter 10:7502–10
  36. Wan MB, Reichhardt CJO, Nussinov Z, Reichhardt C. 36.  2008. Phys. Rev. Lett. 101:018102
  37. Reichhardt CJO, Drocco J, Mai T, Wan MB, Reichhardt C. 37.  2011. Proc. SPIE 8097:80970A
  38. Tailleur J, Cates ME. 38.  2009. Europhys. Lett. 86:60002
  39. Fily Y, Baskaran A, Hagan MF. 39.  2014. Soft Matter 10:5609–17
  40. Fily Y, Baskaran A, Hagan MF. 40.  2015. Phys. Rev. E 91:012125
  41. Berdakin I, Jeyaram Y, Moshchalkov VV, Venken L, Dierckx S. 41.  et al. 2013. Phys. Rev. E 87:052702
  42. Galajda P, Keymer J, Dalland J, Park S, Kou S, Austin R. 42.  2008. J. Mod. Opt. 55:3413–22
  43. Hulme E, DiLuzio WR, Shevkoplyas SS, Turner L, Mayer M. 43.  et al. 2008. Lab Chip 8:1888–95
  44. Kaehr B, Shear JB. 44.  2009. Lab Chip 9:2632–37
  45. Kim SY, Lee ES, Lee HJ, Lee SY, Lee SK, Kim T. 45.  2010. J. Micromech. Microeng. 20:085007
  46. Chen Y-F, Xiao S, Chen H-Y, Sheng Y-J, Tsao H-K. 46.  2015. Nanoscale 7:16451–59
  47. Angelani L, Costanzo A, Di Leonardo R. 47.  2011. Europhys. Lett. 96:68002
  48. Yariv E, Schnitzer O. 48.  2014. Phys. Rev. E 90:032115
  49. Potiguar FQ, Farias GA, Ferreira WP. 49.  2014. Phys. Rev. E 90:012307
  50. Berg HC, Brown DA. 50.  1972. Nature 239:500–4
  51. Berdakin I, Silhanek AV, Cortéz HNM, Marconi VI, Condat CA. 51.  2013. Cent. Eur. J. Phys. 11:1653–61
  52. Kantsler V, Dunkel J, Polin M, Goldstein RE. 52.  2013. PNAS 110:1187–92
  53. Guidobaldi A, Jeyaram Y, Berdakin I, Moshchalkov VV, Condat CA. 53.  et al. 2014. Phys. Rev. E 89:032720
  54. Nam S-W, Qian C, Kim SH, van Noort D, Chiam K-H, Park S. 54.  2013. Sci. Rep. 3:3247
  55. Ai B-Q, Chen Q-Y, He Y-F, Li F-G, Zhong W-R. 55.  2013. Phys. Rev. E 88:062129
  56. Wu JC, Chen Q, Wang R, Ai BQ. 56.  2014. J. Phys. A: Math. Theor. 47:325001
  57. Ai B-Q, Wu J-C. 57.  2014. J. Chem. Phys. 140:094103
  58. Reichhardt C, Reichhardt CJO. 58.  2013. Phys. Rev. E 88:062310
  59. Kulic IM, Mani M, Mohrbach H, Thaokar R, Mahadevan L. 59.  2009. Proc. R. Soc. B 276:2243–47
  60. Pototsky A, Hahn AM, Stark H. 60.  2013. Phys. Rev. E 87:042124
  61. Stenhammar J, Wittkowski R, Marenduzzo D, Cates ME. 61.  2016. Sci. Adv. 2:4e1501850
  62. Nikola N, Solon AP, Kafri Y, Kardar M, Tailleur J, Voituriez R. 62.  2016. Phys. Rev. Lett. 117:098001
  63. Weitz S, Blanco S, Fournier R, Gautrais J, Jost C, Theraulaz G. 63.  2014. Phys. Rev. E 89:052715
  64. Wu J-C, Chen Q, Wang R, Ai B-Q. 64.  2015. Physica A 428:273–78
  65. Mijalkov M, McDaniel A, Wehr J, Volpe G. 65.  2016. Phys. Rev. X 6:011008
  66. Drocco JA, Reichhardt CJO, Reichhardt C. 66.  2012. Phys. Rev. E 85:056102
  67. Mahmud G, Campbell CJ, Bishop KJM, Komarova YA, Chaga O. 67.  et al. 2009. Nat. Phys. 5:606–12
  68. Sun X, Driscoll MK, Guven C, Das S, Parent CA. 68.  et al. 2015. PNAS 112:12557–62
  69. Ghosh PK, Misko VR, Marchesoni F, Nori F. 69.  2013. Phys. Rev. Lett. 110:268301
  70. Koumakis N, Lepore A, Maggi C, Di Leonardo R. 70.  2013. Nat. Commun. 4:2588
  71. Lambert G, Liao D, Austin RH. 71.  2010. Phys. Rev. Lett. 104:168102
  72. Reichhardt C, Reichhardt CJO. 72.  2014. Phys. Rev. E 90:012701
  73. Maass CC, Krüger C, Herminghaus S, Bahr C. 73.  2016. Annu. Rev. Condens. Matter Phys. 7:171–93
  74. Wan M-B, Jho Y-S. 74.  2013. Soft Matter 9:3255–61
  75. Narayan V, Ramaswamy S, Menon N. 75.  2007. Science 317:105–8
  76. Sanchez T, Chen DTN, DeCamp SJ, Heymann M, Dogic Z. 76.  2012. Nature 491:431–34
  77. Giomi L, Bowick MJ, Ma X, Marchetti MC. 77.  2013. Phys. Rev. Lett. 110:228101
  78. DeCamp SJ, Redner GS, Baskaran A, Hagan MF, Dogic Z. 78.  2015. Nat. Mater. 14:1110–15
  79. DiLuzio WR, Turner L, Mayer M, Garstecki P, Weibel DB. 79.  et al. 2005. Nature 435:1271–74
  80. Riedel IH, Kruse K, Howard J. 80.  2005. Science 309:300–3
  81. Li G, Tam L-K, Tang JX. 81.  2008. PNAS 105:18355–59
  82. Tierno P, Johansen TH, Fischer TM. 82.  2007. Phys. Rev. Lett. 99:038303
  83. Kümmel F, ten Hagen B, Wittkowski R, Buttinoni I, Eichhorn R. 83.  et al. 2013. Phys. Rev. Lett. 110:198302
  84. ten Hagen B, Kümmel F, Wittkowski R, Takagi D, Löwen H, Bechinger C. 84.  2014. Nat. Commun. 5:4829
  85. Reichhardt C, Reichhardt CJO. 85.  2003. Phys. Rev. E 68:046102
  86. Speer D, Eichhorn R, Reimann P. 86.  2009. Phys. Rev. Lett. 102:124101
  87. Tierno P, Johansen TH, Fischer TM. 87.  2007. Phys. Rev. Lett. 99:038303
  88. Nourhani A, Crespi VH, Lammert PE. 88.  2015. Phys. Rev. Lett. 115:118101
  89. Reichhardt C, Reichhardt CJO. 89.  2013. Phys. Rev. E 88:042306
  90. Mijalkova M, Volpe G. 90.  2013. Soft Matter 9:6376–81
  91. Ai B, He Y, Zhong W. 91.  2015. Soft Matter 11:3852–59
  92. Ai B. 92.  2016. Sci. Rep. 6:18740
  93. Angelani L, Di Leonardo R, Ruocco G. 93.  2009. Phys. Rev. Lett. 102:048104
  94. Di Leonardo R, Angelani L, Dell'Arciprete D, Ruocco G, Iebba V. 94.  et al. 2010. PNAS 107:9541–45
  95. Sokolov A, Apodaca MM, Grzyboswki BA, Aranson IS. 95.  2010. PNAS 107:969–74
  96. Kojima M, Miyamoto T, Nakajima M, Homma M, Arai T, Fukuda T. 96.  2016. Sens. Actuators B 222:1220–25
  97. Li H, Zhang HP. 97.  2013. Europhys. Lett. 102:50007
  98. Angelani L, Di Leonardo R. 98.  2010. New J. Phys. 12:113017
  99. Kaiser A, Peshkov A, Sokolov A, ten Hagen B, Löwen H, Aranson IS. 99.  2014. Phys. Rev. Lett. 112:158101
  100. Mallory SA, Valeriani C, Cacciuto A. 100.  2014. Phys. Rev. E 90:032309
  101. Kaiser A, Wensink HH, Löwen H. 101.  2012. Phys. Rev. Lett. 108:268307
  102. Kaiser A, Popowa K, Wensink HH, Löwen H. 102.  2013. Phys. Rev. E 88:022311
/content/journals/10.1146/annurev-conmatphys-031016-025522
Loading
/content/journals/10.1146/annurev-conmatphys-031016-025522
Loading

Data & Media loading...

  • Article Type: Review Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error